I thought this is laready fixed since the second or third update of FPOS for FP4?!
And it is already implemented yet in LOS.
https://review.lineageos.org/c/LineageOS/android_frameworks_base/+/321160
To enable fingerprint only when display is on. And problem with multiple attemps is gone
In LOS/iode 3.0
can be found in settings/security → settings of screen lock (gear icon) → Screen off fingerprint
Cannot remember anymore where it is in FPOS settings…
Here: Found the Thread.
The approach in FPOS and LOS is exactly the opposite, but with the same result and technical implementation